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Simplifying 2(6 + -3x) + -3(1 + x) = 5x (6 * 2 + -3x * 2) + -3(1 + x) = 5x (12 + -6x) + -3(1 + x) = 5x 12 + -6x + (1 * -3 + x * -3) = 5x 12 + -6x + (-3 + -3x) = 5x Reorder the terms: 12 + -3 + -6x + -3x = 5x Combine like terms: 12 + -3 = 9 9 + -6x + -3x = 5x Combine like terms: -6x + -3x = -9x 9 + -9x = 5x Solving 9 + -9x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 9 + -9x + -5x = 5x + -5x Combine like terms: -9x + -5x = -14x 9 + -14x = 5x + -5x Combine like terms: 5x + -5x = 0 9 + -14x = 0 Add '-9' to each side of the equation. 9 + -9 + -14x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -14x = 0 + -9 -14x = 0 + -9 Combine like terms: 0 + -9 = -9 -14x = -9 Divide each side by '-14'. x = 0.6428571429 Simplifying x = 0.6428571429
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